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What is the Least Common Multiple of 9790 and 9800?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9790 and 9800 is 9594200.

LCM(9790,9800) = 9594200

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Least Common Multiple of 9790 and 9800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9790 and 9800, than apply into the LCM equation.

GCF(9790,9800) = 10
LCM(9790,9800) = ( 9790 × 9800) / 10
LCM(9790,9800) = 95942000 / 10
LCM(9790,9800) = 9594200

Least Common Multiple (LCM) of 9790 and 9800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9790 and 9800. First we will calculate the prime factors of 9790 and 9800.

Prime Factorization of 9790

Prime factors of 9790 are 2, 5, 11, 89. Prime factorization of 9790 in exponential form is:

9790 = 21 × 51 × 111 × 891

Prime Factorization of 9800

Prime factors of 9800 are 2, 5, 7. Prime factorization of 9800 in exponential form is:

9800 = 23 × 52 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 9790 and 9800.

LCM(9790,9800) = 23 × 52 × 111 × 891 × 72
LCM(9790,9800) = 9594200